:

Answer:

The transformation is a reflection over the x-axis followed by a translation 6 units left and 2 units down.

Step-by-step explanation:

To determine the order of transformations from ΔABC to ΔA"B"C", note that the figure first changes to ΔA'B'C', and then to ΔA''B''C''.

The transition from ΔABC to ΔA'B'C' involves a reflection over the x-axis, as ΔA'B'C' appears as a mirror image flipped vertically.

Next, moving from ΔA'B'C' to ΔA''B''C'' entails shifting the figure left by 6 units and downward by 2 units. This matches a translation by -6 in the x direction and -2 in the y direction.

Thus, the accurate description is:

Reflection across the x-axis followed by a translation of -6 units in x and -2 units in y.

Sam needs to score 97 on his upcoming test to keep his average at 85. If you total 63, 84, 96, and 97, the sum is 340. Dividing 340 by four test scores yields an exact average of 85.

Response:

The Work In Progress (WIP) limit is set at 0.50 days.

Detailed explanation:

Calculating WIP limits:

first, it is essential to determine the efficiency of the process and procedure, which can be calculated as follows:

Value Added Time = 12 days (arrival time)

Non-Value-Added Time = 12 days (departure time)

Efficiency = Value Added / (Value Added + Non-Value Added)

                = 12 / (12+12)

                = 12 / 24

               = 0.50 or 50%

the minimum required throughput time is 0.25 days to achieve the maximum profits

WIP limit = Throughput time / Efficiency

               = 0.25 / 50%

               = 0.50 days.

The WIP limit is 0.50 days.

Response:

$125,000.12 last year

$375,000.36 this year

Step-by-step clarification:

Last year, her earnings were x.

This year, her earnings are three times greater, thus they equal 3x.

For both years combined, the total earnings amount to x + 3x = 4x.

The earnings across both years together total $500,000.48

4x = 500,000.48

Dividing both sides by 4 gives us

x = 500,000.48/4

x = 125,000.12

Thus, last year's earnings were $125,000.12

This year, her profits amounted to 3x = 3(125,000.12) = 375,000.36, totaling $375,000.36